Test a Hypothesis Regarding Three or More Means Using One -Way ANOVA
-A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the critical value F-value to test the hypothesis that there is no difference in the average age of each group. Use $\alpha = 0.01$.

A) 6.363
B) 5.09
C) 9.43
D) $5.42$

Question

Test a Hypothesis Regarding Three or More Means Using One -Way ANOVA
-A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the critical value F-value to test the hypothesis that there is no difference in the average age of each group. Use $\alpha = 0.01$.

A) 6.363
B) 5.09
C) 9.43
D) $5.42$

Quizplus · Accepted Answer

The critical value for an F-test can be found in an F-distribution table or using statistical software, given the degrees of freedom for the numerator (number of groups - 1) and the denominator (total number of observations - number of groups) and the significance level ($\alpha = 0.01$). For three groups (middle school, high school, and college teachers), the degrees of freedom for the numerator is 2. Without the total number of observations, we can't calculate the exact degrees of freedom for the denominator, but the critical value provided (6.363) corresponds to a common critical value for a one-way ANOVA test at the 0.01 significance level for a reasonable range of degrees of freedom in the denominator, making it the best choice given the options.

Test a Hypothesis Regarding Three or More Means Using One α=0.01\alpha = 0.01α=0.01

Test a Hypothesis Regarding Three or More Means Using One $\alpha = 0.01$